Name
Title | ||
|---|---|---|
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case |
Abstract | ||
|---|---|---|
The computation of free energy differences through an exponential weighting of out-of-equilibrium paths (known as the Jarzynski equality [C. Jarzynski, Equilibrium free energy differences from nonequilibrium measurements: a master equation approach, Phys. Rev. E 56 (5) (1997) 5018-5035, C. Jarzynski, Nonequilibrium equality for free energy differences, Phys. Rev. Lett. 78 (14) (1997) 2690-2693]) is often used for transitions between states described by an external parameter in the Hamiltonian. An extension to transitions between states defined by different values of some reaction coordinate is presented here, using a projected Brownian dynamics. In contrast with other approaches (see e.g. [S. Park, F. Khalili-Araghi, E. Tajkhorshid, K. Schulten, Free energy calculation from steered molecular dynamics simulations using Jarzynski's equality, J. Chem. Phys. 119 (6) (2003) 3559-3566]), a projection is used rather than a constraining potential to let the constraints associated with the reaction coordinate evolve. It is shown how to use the Lagrange multipliers associated with these constraints to compute the work associated with a given trajectory. Appropriate discretizations are proposed. Some numerical results demonstrate the applicability of the method for the computation of free energy difference profiles. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2006.08.003 | J. Comput. Physics |
Keywords | Field | DocType |
equilibrium free energy difference,feynman–kac formula,sampling techniques,free energy calculation,free energy difference,jarzynski equality,c. jarzynski,nonequilibrium stochastic dynamic,rev. e,free energy,mean force,free energy difference profile,rev. lett,constrained dynamics,molecular dynamics simulation,nonequilibrium equality,trajectories,sampling technique,discretisation,discretization,brownian dynamics,master equations,master equation,calculation,transition state,molecular dynamics,lagrange multiplier | Hamiltonian (quantum mechanics),Lagrange multiplier,Brownian dynamics,Master equation,Classical mechanics,Feynman–Kac formula,Jarzynski equality,Mathematics,Reaction coordinate,Non-equilibrium thermodynamics | Journal |
Volume | Issue | ISSN |
222 | 2 | Journal of Computational Physics |
Citations | PageRank | References |
3 | 0.89 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tony Lelièvre | 1 | 33 | 9.48 |
| Mathias Rousset | 2 | 14 | 4.05 |
| Gabriel Stoltz | 3 | 23 | 8.85 |